ASYMPTOTIC THEORY AND ANALYSIS FOR DISPLACEMENTS AND STRESS-DISTRIBUTION IN NONLINEAR ELASTIC STRAIGHT SLENDER RODS

被引:68
作者
CIMETIERE, A
GEYMONAT, G
LEDRET, H
RAOULT, A
TUTEK, Z
机构
[1] UNIV ZAGREB, DEPT MATH, YU-41001 ZAGREB, YUGOSLAVIA
[2] UNIV PARIS 06, ECOLE NORMALE SUPER CACHAN, CNRS, MECAN & TECHNOL LAB, F-94230 CACHAN, FRANCE
[3] UNIV PARIS 06, ANAL NUMER LAB, F-75252 PARIS 05, FRANCE
关键词
MATHEMATICAL TECHNIQUES - Differential Equations - MECHANICS - Continuous Media - STRESSES;
D O I
10.1007/BF00040890
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
An asymptotic expansion method is applied to nonlinear three-dimensional elastic straight slender rods. Nonlinear ordinary differential equations for approximate displacements and explicit formulas for approximate stress distributions are obtained. Mathematical properties of these models are studied.
引用
收藏
页码:111 / 161
页数:51
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